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1000480448832 = 263191631682543
BaseRepresentation
bin11101000111100010100…
…10000010000101000000
310112122102012110202101020
432203301102002011000
5112342440443330312
62043340412105440
7132165560333334
oct16436122020500
93478365422336
101000480448832
11356335149247
12141a96a65280
13734639968a7
14365d018d7c4
151b058a1b78c
hexe8f1482140

1000480448832 has 112 divisors (see below), whose sum is σ = 2803522114560. Its totient is φ = 314002718208.

The previous prime is 1000480448801. The next prime is 1000480448839. The reversal of 1000480448832 is 2388440840001.

It is a super-2 number, since 2×10004804488322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000480448839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246648 + ... + 1435895.

Almost surely, 21000480448832 is an apocalyptic number.

1000480448832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000480448832 is an abundant number, since it is smaller than the sum of its proper divisors (1803041665728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000480448832 is a wasteful number, since it uses less digits than its factorization.

1000480448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682740 (or 1682730 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 1000480448832 in words is "one trillion, four hundred eighty million, four hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 163 192 228 304 326 456 489 608 652 912 978 1216 1304 1824 1956 2608 3097 3648 3912 5216 6194 7824 9291 10432 12388 15648 18582 24776 31296 37164 49552 74328 99104 148656 198208 297312 594624 1682543 3365086 5047629 6730172 10095258 13460344 20190516 26920688 31968317 40381032 53841376 63936634 80762064 95904951 107682752 127873268 161524128 191809902 255746536 274254509 323048256 383619804 511493072 548509018 767239608 822763527 1022986144 1097018036 1534479216 1645527054 2045972288 2194036072 3068958432 3291054108 4388072144 5210835671 6137916864 6582108216 8776144288 10421671342 13164216432 15632507013 17552288576 20843342684 26328432864 31265014026 41686685368 52656865728 62530028052 83373370736 125060056104 166746741472 250120112208 333493482944 500240224416 1000480448832